# Coherent oscillations inside a quantum manifold stabilized by dissipation

## TL;DR

This paper demonstrates the autonomous stabilization of a quantum encoding manifold using dissipation in a superconducting cavity, enabling coherent oscillations that are compatible with quantum error correction for fault-tolerant quantum computing.

## Contribution

It introduces a method for stabilizing a quantum manifold with dissipation, allowing coherent oscillations akin to qubit rotations, advancing fault-tolerant quantum information processing.

## Key findings

- Successful implementation of Zeno-driven coherent oscillations
- Demonstration of a stabilized manifold with Schrödinger cat states
- Compatibility of these gates with quantum error correction

## Abstract

Manipulating the state of a logical quantum bit usually comes at the expense of exposing it to decoherence. Fault-tolerant quantum computing tackles this problem by manipulating quantum information within a stable manifold of a larger Hilbert space, whose symmetries restrict the number of independent errors. The remaining errors do not affect the quantum computation and are correctable after the fact. Here we implement the autonomous stabilization of an encoding manifold spanned by Schroedinger cat states in a superconducting cavity. We show Zeno-driven coherent oscillations between these states analogous to the Rabi rotation of a qubit protected against phase-flips. Such gates are compatible with quantum error correction and hence are crucial for fault-tolerant logical qubits.